Search a number
-
+
31475280 = 2435313419
BaseRepresentation
bin111100000010…
…0011001010000
32012020002222010
41320010121100
531024202110
63042342520
7531351444
oct170043120
965202863
1031475280
1116848931
12a65aa40
1366a0635
144274824
152b6b020
hex1e04650

31475280 has 80 divisors (see below), whose sum is σ = 98118720. Its totient is φ = 8346624.

The previous prime is 31475251. The next prime is 31475287. The reversal of 31475280 is 8257413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31475287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74911 + ... + 75329.

It is an arithmetic number, because the mean of its divisors is an integer number (1226484).

Almost surely, 231475280 is an apocalyptic number.

31475280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49059360).

31475280 is an abundant number, since it is smaller than the sum of its proper divisors (66643440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31475280 is a wasteful number, since it uses less digits than its factorization.

31475280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 31475280 is about 5610.2834153009. The cubic root of 31475280 is about 315.7353442895.

The spelling of 31475280 in words is "thirty-one million, four hundred seventy-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 419 626 838 939 1252 1257 1565 1676 1878 2095 2504 2514 3130 3352 3756 4190 4695 5008 5028 6260 6285 6704 7512 8380 9390 10056 12520 12570 15024 16760 18780 20112 25040 25140 33520 37560 50280 75120 100560 131147 262294 393441 524588 655735 786882 1049176 1311470 1573764 1967205 2098352 2622940 3147528 3934410 5245880 6295056 7868820 10491760 15737640 31475280